GCSE Geography AQA 8035

Know and use the definition of a gradient

Know the relationship between the gradients of parallel and perpendicular lines

Show that A (0, 2), B (4, 6) and C (10, 0) form a right- angled triangle

Use Pythagoras' theorem to calculate the distance between two points

Use ratio to find the coordinates of a point on a line given the coordinates of two other points

Including midpoint

The equation of a straight line

$y = mx + c$ and $y - y_1 = m (x - x_1)$

and other forms

Including interpretation of the gradient and y-intercept from the equation

Draw a straight line from given information

Understand that $x^2 + y^2 = r^2$ is the equation of a circle with centre $(0, 0)$ and radius $r$

*Including writing down the equation of a circle given centre (0, 0) and radius

The application of circle geometry facts where appropriate: the angle in a semi-circle is 90°; the perpendicular from the centre to a chord bisects the chord;
the angle between tangent and radius is 90°;
tangents from an external point are equal in length.*

Understand that $(x - a)^2 + (y - b)^2 = r^2$ is the equation of a circle with centre $(a, b)$ and radius $r$

Including writing down the equation of any circle given centre and radius

The equation of a tangent at a point on a circle